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A048057 Fourier coefficients of T_{12}. 6
1, 24, -196560, -47709536, -3688365156, -157770831888, -4592324039296, -101169692036160, -1798121610692694, -26893040697287128, -348647102287069824, -4004453472837158880, -41433637398554661080 (list; graph; refs; listen; history; text; internal format)
OFFSET

-2,2

COMMENTS

T_{12} is a weight = -10 normalized meromorphic modular form for SL(2,Z) with all poles at infinity.

REFERENCES

C. L. Siegel, Advanced Analytic Number Theory, Tata Institute of Fundamental Research, Bombay, 1980, pp. 249-268.

LINKS

Table of n, a(n) for n=-2..10.

FORMULA

G.f.: G_{14}/\Delta^2 (in Siegel's notation.)

EXAMPLE

T_{12} = q^(-2)+24 q^(-1) - 196560 q^0 - 47709536 q^1 - 3688365156 q^2 - ....

CROSSREFS

Cf. A048057, A006922, A048100, A048101, A048110, A048145.

Sequence in context: A179268 A056947 A305760 * A305757 A058550 A145200

Adjacent sequences:  A048054 A048055 A048056 * A048058 A048059 A048060

KEYWORD

easy,sign

AUTHOR

Barry Brent (barryb(AT)primenet.com)

STATUS

approved

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Last modified June 23 05:11 EDT 2021. Contains 345395 sequences. (Running on oeis4.)